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https://arxiv.org/list/math.AP/recent?skip=48&show=50 Analysis of PDEs analysis pdes https://mathoverflow.net/questions/176698/heat-kernel-on-n-sphere ap.analysis of pdes - heat kernel on n-sphere - MathOverflow I'm interested in diffusion, a.k.a. the heat kernel driven by the Laplace-Beltrami operator, on the $n$-dimensional sphere. There are lots of bounds showing... ap analysis pdes heat kernel sphere https://arxiv.org/list/math.AP/recent?skip=50&show=50 Analysis of PDEs analysis pdes https://mathoverflow.net/questions/317507/underdetermined-system-of-linear-pdes dg.differential geometry - Underdetermined system of linear PDEs - MathOverflow Let $a,b$ two smooth functions from the open square $I^{2}$ in $\mathbb{R}^{2}$ to $\mathbb{R}^{4}$. In particular, assume $a(t,u)$ and $b(t,u)$ be linearly... dg differential geometry system linear pdes mathoverflow https://www.physicsx.ai/newsroom/how-a-fourier-neural-operator-learns-to-solve-pdes----and-where-it-falls-short PhysicsX - How a Fourier Neural Operator Learns to Solve PDEs — and Where It Falls Short Fourier Neural Operators replace repeated PDE solves by learning the solution map itself — turning hours-long simulation loops into millisecond inference. This... falls short physicsx fourier neural operator https://mathoverflow.net/questions/tagged/ap.analysis-of-pdes?tab=newest&page=2&pagesize=15 Newest 'ap.analysis-of-pdes' Questions - Page 2 - MathOverflow ap analysis 2 mathoverflow newest pdes questions https://mathoverflow.net/questions/510758/boundary-gradient-estimate-for-quasi-linear-elliptic-equation ap.analysis of pdes - Boundary gradient estimate for quasi-linear elliptic equation - MathOverflow Crossposted on Mathematics Stack Exchange I consider a gradient estimate for a quasi-linear elliptic equation on a half-disc in the $2$-dimensional plane.... ap analysis pdes boundary gradient estimate https://mathoverflow.net/questions/356956/a-boundary-schauder-estimate ap.analysis of pdes - A boundary Schauder estimate - MathOverflow According to Theorem 1.1' in this paper we have the following estimate on classical solutions $u \in C^2(\overline{B_1^+})$ of $-\Delta u = f \text{ in } B_1^+... ap analysis pdes boundary schauder estimate